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AN ANALYSIS AND AN ORGANIZATION OF OPTIMIZATION METHODS USING COUPLED NONLINEAR DYNAMICS

Research Project

Project/Area Number 20700206
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Sensitivity informatics/Soft computing
Research InstitutionChiba University

Principal Investigator

OKAMOTO Takashi  Chiba University, 大学院・工学研究科, 助教 (40451752)

Project Period (FY) 2008 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords大域的最適化 / カオス / 結合力学系 / 同調現象 / 多目的最適化 / 結合系 / 制約条件付き最適化 / 同時摂動勾配近似
Research Abstract

In this study, we theoretically analyzed the optimization methods using coupled nonlinear dynamics in which multiple search points driven by nonlinear dynamics implement optimization. Furthermore, we studied an organization of the optimization method using nonlinear dynamics. In consequence, we theoretically explain effectiveness of the introduction of coupled dynamics to the optimization method. Furthermore, we proposed optimization methods using coupled nonlinear dynamics for constrained optimization problems and multi-objective problems. In addition, we proposed an optimization method using coupled gradient dynamics with inertia. These fruits contribute to organize the optimization methods using coupled nonlinear dynamics.

Report

(3 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • Research Products

    (15 results)

All 2010 2009 2008

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (13 results)

  • [Journal Article] 結合離散化勾配系モデルを用いた多目的最適化2010

    • Author(s)
      岡本卓, 平田廣則
    • Journal Title

      電気学会論文誌(C) 第130巻

      Pages: 39-49

    • NAID

      10026227484

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 結合離散化勾配系モデルを用いた多目的最適化2010

    • Author(s)
      岡本卓, 平田廣則
    • Journal Title

      電気学会論文誌(C) 130

      Pages: 39-49

    • NAID

      10026227484

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] カオスLagrange関数法を用いた混合整数最適化手法2010

    • Author(s)
      岡本卓, 平田廣則
    • Organizer
      電気学会産業計測制御研究会「情報知能システムとその産業応用」
    • Place of Presentation
      関東学院大学KGU関内メディアセンター(神奈川県横浜市)
    • Year and Date
      2010-03-03
    • Related Report
      2009 Final Research Report
  • [Presentation] カオス Lagrange 関数法を用いた混合整数最適化手法2010

    • Author(s)
      岡本卓, 平田廣則
    • Organizer
      電気学会産業計測制御研究会「情報知能システムとその産業応用」
    • Place of Presentation
      関東学院大学KGU関内メディアセンター(神奈川県横浜市)
    • Year and Date
      2010-03-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] 多点型離散化時変慣性系モデルを用いた大域的最適化2009

    • Author(s)
      岡本卓, 浜田憲一郎, 相吉英太郎
    • Organizer
      計測自動制御学会システム・情報部門学術講演会
    • Place of Presentation
      東京工業大学すずかけ台キャンパス(神奈川県横浜市)
    • Year and Date
      2009-11-25
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] Constrained Optimization using the Lagrangian Method and the Improved Discrete Gradient Chaos Model2009

    • Author(s)
      T. Okamoto, H. Hirata
    • Organizer
      IEEE International Conference on Systems, Man, and Cybernetics 2009
    • Place of Presentation
      Hyatt Regency Riverwalk, San Antonio (Texas USA)
    • Year and Date
      2009-10-14
    • Related Report
      2009 Final Research Report
  • [Presentation] Constrained Optimization using the Lagrangian Method and the Improved Discrete Gradient Chaos Model2009

    • Author(s)
      岡本卓, 平田廣則
    • Organizer
      IEEE International Conference on Systems, Man, and Cybernetics 2009
    • Place of Presentation
      Hyatt Regency Riverwalk, San Antonio(Texas USA)
    • Year and Date
      2009-10-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] 大域的探索のための離散Lagrange関数法の改良2009

    • Author(s)
      花岡祐也, 岡本卓, 小圷成一, 平田廣則
    • Organizer
      平成21年電気学会電子・情報・システム部門大会
    • Place of Presentation
      徳島大学常三島キャンパス(徳島県徳島市)
    • Year and Date
      2009-09-04
    • Related Report
      2009 Final Research Report
  • [Presentation] 大域的探索のための離散 Lagrange 関数法の改良2009

    • Author(s)
      花岡祐也, 岡本卓, 小圷成一, 平田廣則
    • Organizer
      平成21年電気学会電子・情報・システム部門大会
    • Place of Presentation
      徳島大学常三島キャンパス(徳島県徳島市)
    • Year and Date
      2009-09-04
    • Related Report
      2009 Annual Research Report
  • [Presentation] Constrained Optimization using the Chaotic Lagrangian Method and the Simultaneous Perturbation Gradient Approximation2009

    • Author(s)
      T. Okamoto, H. Hirata
    • Organizer
      ICCAS-SICE 2009
    • Place of Presentation
      Fukuoka International Congress Center (Fukuoka JAPAN)
    • Year and Date
      2009-08-18
    • Related Report
      2009 Final Research Report
  • [Presentation] Constrained Optimization using the Chaotic Lagrangian Method and the Simultaneous Perturbation Gradient Approximation2009

    • Author(s)
      岡本卓, 平田廣則
    • Organizer
      ICCAS-SICE 2009
    • Place of Presentation
      Fukuoka International Congress Center(Fukuoka JAPAN)
    • Year and Date
      2009-08-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] 同時摂動法を用いたカオス最適化2009

    • Author(s)
      森谷俊之, 岡本卓, 小圷成一, 平田廣則
    • Organizer
      電気学会産業計測制御研究会「情報知能システムとその産業応用」
    • Place of Presentation
      関東学院大学KGU関内メディアセンター(神奈川県横浜市)
    • Year and Date
      2009-03-03
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] 目的関数重み付けLagrange関数と結合離散化勾配系カオスモデルを用いた制約条件付き最適化2008

    • Author(s)
      岡本卓, 平田廣則
    • Organizer
      計測自動制御学会システム・情報部門学術講演会2008
    • Place of Presentation
      姫路市国際交流センター(兵庫県姫路市)
    • Year and Date
      2008-11-26
    • Related Report
      2009 Final Research Report
  • [Presentation] 目的関数重み付けLagrange関数と結合離散化勾配系カオスモデルを用いた制艇条件付き最適化2008

    • Author(s)
      岡本卓, 平田廣則
    • Organizer
      計測自動制御学会システム・情報部門学術講演会2008
    • Place of Presentation
      姫路市国際交流センター(兵庫県姫路市)
    • Year and Date
      2008-11-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] Lagrange関数法と離散化勾配系カオスモデルを用いた制約条件付き最適化2008

    • Author(s)
      岡本卓, 平田廣則
    • Organizer
      平成20年電気学会電子・情報・システム部門大会
    • Place of Presentation
      公立はこだて未来大学(北海道函館市)
    • Year and Date
      2008-08-21
    • Related Report
      2009 Final Research Report 2008 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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